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Finding the Fourth Proportional to 175.13, 260.94 and 166.22

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Solution

The fourth proportional to 175.13, 260.94 and 166.22 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 260.94 = 166.22 : x
  2. Step 2: Convert to fraction form
    175.13/260.94 = 166.22/x
  3. Step 3: Cross multiply
    175.13x = 260.94 × 166.22
  4. Step 4: Simplify right side
    175.13x = 43,372.14
  5. Step 5: Solve for x
    x = 43,372.14/175.13
  6. Step 6: Final answer
    x = 247.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.